Finite Group Databasebeta

← Group #251439

Character table — Group #251439

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444422444444444444888888884444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-111-1-1111111111-1-11-1-1-1-1-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-111-1-111111111-11-1-11-1-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111-1-1-1-1-1-11111
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-1111111-1-1-1-1
χ911111111-1-1-1-1-1-111111111-1-1111111-1-1-1-11-1-1-11-111-1-11-11-111-1-111-1-1
χ1011111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-11-11-1-111-1-1-11-11-1-111-1-111
χ1111111111-1-1-1-1-1-111111111-1-111-1-1-1-111111-1-1-11-1-1-1111-11-1-1-111-1-111
χ1211111111-1-1-1-1-1-111111111-1-111-1-1-1-11111-11-11-1-1-1-111-11-1111-1-111-1-1
χ1311111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-11-1-1111-1-1111-1-1-1-111
χ1411111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-111-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-11-1-11-1-11111-1-1
χ1611111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-111-111-1-1-1-111
χ17222222222222222-2-2-2-2222-2-2-2-20000000000-20020000000000000000
χ18222222222222222-2-2-2-22-2-2-2-2220000000000200-20000000000000000
χ19222222222222-2-2-222-2-2-2002-200000000000200-200000002-200000000
χ20222222222222-2-2-222-2-2-2002-200000000000-20020000000-2200000000
χ21222222222222-2-2-2-2-222-200-220000000000200-2000000-220000000000
χ22222222222222-2-2-2-2-222-200-220000000000-20020000002-20000000000
χ2322222222-2-2-2-222-222-2-2-200-220000000000020020000000-2-200000000
χ2422222222-2-2-2-222-222-2-2-200-2200000000000-200-200000002200000000
χ2522222222-2-2-2-222-2-2-222-2002-200000000002002000000-2-20000000000
χ2622222222-2-2-2-222-2-2-222-2002-20000000000-200-2000000220000000000
χ2722222222-2-2-2-2-2-22-2-2-2-222222-2-20000000000200-20000000000000000
χ2822222222-2-2-2-2-2-22-2-2-2-22-2-222220000000000-20020000000000000000
χ292-2-2-2222-200000022-22-2-22i−2i002i−2i00002i2i−2i−2i000000002-2000000000000
χ302-2-2-2222-200000022-22-2-22i−2i002i−2i0000−2i−2i2i2i00000000-22000000000000
χ312-2-2-2222-200000022-22-2-2−2i2i00−2i2i00002i2i−2i−2i00000000-22000000000000
χ322-2-2-2222-200000022-22-2-2−2i2i00−2i2i0000−2i−2i2i2i000000002-2000000000000
χ332-2-2-2222-20000002-22-22-22i−2i00−2i2i2i2i−2i−2i00000000002-200000000000000
χ342-2-2-2222-20000002-22-22-22i−2i00−2i2i−2i−2i2i2i0000000000-2200000000000000
χ352-2-2-2222-20000002-22-22-2−2i2i002i−2i2i2i−2i−2i0000000000-2200000000000000
χ362-2-2-2222-20000002-22-22-2−2i2i002i−2i−2i−2i2i2i00000000002-200000000000000
χ37444-44-4-4-400004-40000000000002-22-22-22-20000000000000000000000
χ38444-44-4-4-400004-4000000000000-22-22-22-220000000000000000000000
χ39444-44-4-4-40000-440000000000002-22-2-22-220000000000000000000000
χ40444-44-4-4-40000-44000000000000-22-222-22-20000000000000000000000
χ4144-4-4-44-444i4i−4i−4i0000000000000000000000000000000000002i−2i2-20000
χ4244-4-4-44-444i4i−4i−4i000000000000000000000000000000000000−2i2i-220000
χ4344-4-4-44-44−4i−4i4i4i0000000000000000000000000000000000002i−2i-220000
χ4444-4-4-44-44−4i−4i4i4i000000000000000000000000000000000000−2i2i2-20000
χ454-44-4-4-4444i−4i4i−4i00000000000000000000000000000000000000002i−2i2-2
χ464-44-4-4-4444i−4i4i−4i0000000000000000000000000000000000000000−2i2i-22
χ474-44-4-4-444−4i4i−4i4i00000000000000000000000000000000000000002i−2i-22
χ484-44-4-4-444−4i4i−4i4i0000000000000000000000000000000000000000−2i2i2-2
χ494-4-444-4-444-4-44000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ504-4-444-4-444-4-4400000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ514-4-444-4-44-444-4000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ524-4-444-4-44-444-400000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ534-4-4-4444-4000000-44-4-444000000000000000000000000000000000000
χ544-4-4-4444-4000000-4-444-44000000000000000000000000000000000000
χ5588-88-8-88-8000000000000000000000000000000000000000000000000
χ568-888-88-8-8000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).